Question

Given f(x) = x^2 - 8 and g(x) = x +1 / x, find (gof)(1).

Answer 1

substitute "f(x)" instead of "x" in "g(x)"

Answer 2

huh?

Answer 3

?
(g(of(x))

Answer 4

and substitute x=1 later

Answer 5

its not g of x though, its g o f, like the little circle symbol thing

Answer 6

hello

Answer 7

hello

Answer 8

(gof)(1) = g(f(1))

Answer 9

find f(1) first,
watever the value u get, plug that in g

Answer 10

i just dont get it lol. im sorry. it also says Hint: (g o f)(-4) = g(f(-4))]

Answer 11

yes thats an useful hint :)

Answer 12

(g o f)(-4)

g(f(-4))

g of f of (-4)

Answer 13

all 3 above are same, let me show u the solution, then it may become simple to see :)

Answer 14

okay, thank you for taking time to help me

Answer 15

(gof)(1)

g( f(1) )

g( 1^2-8 )

g(1-8)

g(-7)

Answer 16

fine so far ?

Answer 17

yeah i get that far

Answer 18

good :) rest should be easy for u.
simply put x=-7 in g(x)

Answer 19

g(-7)

-7 + 1 / -7

= ?

Answer 20

-6/-7 which is simplified to 6/7?

Answer 21

perfect !

Answer 22

thank you!!

Answer 23

np :)